A capacitor presents a reactance of 20 ohms to an AC signal with a frequency of 50 Hz. What will be the reactance if the frequency is raised to 100 Hz?

Explanation

The capacitive reactance (Xc) is inversely proportional to the frequency (f), given by Xc = 1/(2πfC). When frequency doubles from 50 Hz to 100 Hz, the reactance halves. Since initial reactance is 20 ohms at 50 Hz, at 100 Hz it becomes 20 / 2 = 10 ohms.